Cremona's table of elliptic curves

6720 = 2⁶ · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	6720p	Isogeny class
Conductor	6720	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	6881280 = 216 · 3 · 5 · 7	Discriminant
Eigenvalues	2+ 3- 5+ 7+  0 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8961,-329505]	[a1,a2,a3,a4,a6]
j	1214399773444/105	j-invariant
L	1.9627563462646	L(r)(E,1)/r!
Ω	0.49068908656616	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6720bl3 840c3 20160bx3 33600o4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6720p3

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	+	+	0	-2	2	0	0	-6	4	2	10	-4	0	-2	-4	-6	12	12	-2	0	-4	10	-2

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Quadratic twists for elliptic curve 6720p3

-4	8	-3	5	-7
6720bl3	840c3	20160bx3	33600o4	47040bc4

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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